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Simplifying j(80 + -1j) = 700 (80 * j + -1j * j) = 700 (80j + -1j2) = 700 Solving 80j + -1j2 = 700 Solving for variable 'j'. Reorder the terms: -700 + 80j + -1j2 = 700 + -700 Combine like terms: 700 + -700 = 0 -700 + 80j + -1j2 = 0 Factor a trinomial. (-70 + j)(10 + -1j) = 0Subproblem 1
Set the factor '(-70 + j)' equal to zero and attempt to solve: Simplifying -70 + j = 0 Solving -70 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + j = 0 + 70 Combine like terms: -70 + 70 = 0 0 + j = 0 + 70 j = 0 + 70 Combine like terms: 0 + 70 = 70 j = 70 Simplifying j = 70Subproblem 2
Set the factor '(10 + -1j)' equal to zero and attempt to solve: Simplifying 10 + -1j = 0 Solving 10 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1j = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1j = 0 + -10 -1j = 0 + -10 Combine like terms: 0 + -10 = -10 -1j = -10 Divide each side by '-1'. j = 10 Simplifying j = 10Solution
j = {70, 10}
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